We're dividing 105865 by 2 
We want to figure out the number of times 105865 can be divided by 2.

Moving on to step 1:
1 divided by 2 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 2

Step 2:
When dividing 10 by 2, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 0 after subtracting 10 from 10.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 2

Going ahead to step 3:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 52.0
Deduct 4 from 5 and we're left with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 2

Step 4:
If we divide 18 by 2, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 529.0
Subtract 18 from 18 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 2

Step 5:
The number 2 fits into 6 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 5293.0
The remainder is 0 after subtracting 6 from 6.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 2

Advancing to step 6:
2 can be fit into 5 2 times, resulting in a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 52932.0
The remainder is 1 after subtracting 4 from 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 2 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 52932.5
Deduct 10 from 10 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 52932.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 52932.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 52932.5 with a remainder of 0.0.